Second post-Newtonian Lagrangian dynamics of spinning compact binaries

被引：32
作者：
Huang, Li [1 ,2 ]
Wu, Xin [1 ,2 ]
Ma, DaZhu [3 ]
机构：
[1] Nanchang Univ, Dept Phys, Nanchang 330031, Peoples R China
[2] Nanchang Univ, Inst Astron, Nanchang 330031, Peoples R China
[3] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL C | 2016年 / 76卷 / 09期
基金：
中国国家自然科学基金;
关键词：
LYAPUNOV EXPONENTS; EQUIVALENCE; WAVES; CHAOS;
D O I：
10.1140/epjc/s10052-016-4339-7
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The leading-order spin-orbit coupling is included in a post-Newtonian Lagrangian formulation of spinning compact binaries, which consists of the Newtonian term, first post-Newtonian (1PN) and 2PN non-spin terms and 2PN spin-spin coupling. This leads to a 3PN spin-spin coupling occurring in the derived Hamiltonian. The spin-spin couplings are mainly responsible for chaos in the Hamiltonians. However, the 3PN spin-spin Hamiltonian is small and has different signs, compared with the 2PN spin-spin Hamiltonian equivalent to the 2PN spin-spin Lagrangian. As a result, the probability of the occurrence of chaos in the Lagrangian formulation without the spin-orbit coupling is larger than that in the Lagrangian formulation with the spin-orbit coupling. Numerical evidences support this claim.
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页数：10
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